3(x+2)=4(4x+5)

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Solution for 3(x+2)=4(4x+5) equation:


Simplifying
3(x + 2) = 4(4x + 5)

Reorder the terms:
3(2 + x) = 4(4x + 5)
(2 * 3 + x * 3) = 4(4x + 5)
(6 + 3x) = 4(4x + 5)

Reorder the terms:
6 + 3x = 4(5 + 4x)
6 + 3x = (5 * 4 + 4x * 4)
6 + 3x = (20 + 16x)

Solving
6 + 3x = 20 + 16x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-16x' to each side of the equation.
6 + 3x + -16x = 20 + 16x + -16x

Combine like terms: 3x + -16x = -13x
6 + -13x = 20 + 16x + -16x

Combine like terms: 16x + -16x = 0
6 + -13x = 20 + 0
6 + -13x = 20

Add '-6' to each side of the equation.
6 + -6 + -13x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = 20 + -6
-13x = 20 + -6

Combine like terms: 20 + -6 = 14
-13x = 14

Divide each side by '-13'.
x = -1.076923077

Simplifying
x = -1.076923077

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